pls show calculation method (pls no into exel calculation)

Harritz Consultants, a famous financial analysis, has provided probability estimates for the four potential economic states for the coming year. The probability of a boom economy 10 percent, stable growth economy 15 percent, stagnant economy 50 percent and recession 25 percent. Below are the estimated returns of the individual investments for the coming year: Investment Forecasted returns for each economy (%) Boom Stable Growth Stagnant Recession Share 25 12 4 -12 Corporate Bond 9 7 5 3 Government Bond 8 6 4 2 If Harritz is a risk averse investor, which investment should he choose? (Show your calculation) (8 marks)